Partitioned mixture distributions: a first order perturbation analysis

A perturbation analysis is used to linearise the theory of partitioned mixture distribution (PMD) encoder/decoder networks, which allows many connections to be made with previous results. For instance, the difference of Gaussians (DOG) filtering operation commonly used in image processing emerges very naturally, and the dependence of the wavelength of dominance stripes in a visual cortex network (VICON) may then be derived.